GCF of 4930/636, 4206/6572
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4930/636, 4206/6572 i.e 2/19716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4930/636, 4206/6572.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4930/636,4206/6572?
Given fractions are 4930/636,4206/6572
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 4930/636,4206/6572, numerators are 4930,4206
Denominators are 636,6572
The GCF of 4930,4206 is 2 .
LCM of 636,6572 is 19716.
The greatest common factor of 4930/636,4206/6572 = [GCF of 4930,4206]/[LCM of 636,6572]= 2/19716
Therefore, the GCF of 4930/636,4206/6572 is 2/19716.
To find the highest common factor of 4930,4206, we have to find the factors of both numbers and list the highest common factor.
The factors of 4930 are 1, 2, 5, 10, 17, 29, 34, 58, 85, 145, 170, 290, 493, 986, 2465, 4930
The factors of 4206 are 1, 2, 3, 6, 701, 1402, 2103, 4206
The HCF of 4930,4206 is 2.
Lets's calculate GCF of 4930,4206
| 2 | 4930, 4206 |
| 2465, 2103 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4930,4206 By Matching Biggest Common Factor Method
Now, list down the factors of 4930
:1,2,5,10,17,29,34,58,85,145,170,290,493,986,2465,4930
Now, list down the factors of 4206
:1,2,3,6,701,1402,2103,4206
Greatest Common Factor
We found the factors 4930,4206 . The biggest common factor number is the GCF number.
So the greatest common factor 4930,4206 is 2.
Lets's calculate LCM of 636,6572
| 2 | 636, 6572 |
| 2 | 318, 3286 |
| 53 | 159, 1643 |
| 3, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 53 x 3 x 31 = 19716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19716
Therefore, the GCF of Fractions 4930/636,4206/6572 is 2/19716
Least Common Multiple of 636,6572 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 636,6572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,6572) = 212
common factors(in case of two or more numbers have common factors) = 1
GCF(636,6572) x common factors =212 x 1 = 212
LCM(636,6572) = ( 636 × 6572 ) / 212
LCM(636,6572) = 4179792 / 212
LCM(636,6572) = 19716
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FAQs on GCF of Fractions of 4930/636, 4206/6572
1. What is the HCF of 4930,4206?
The HCF of 4930,4206 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 4930/636, 4206/6572?
Answer: GCF of Numerators as per given numbers 4930/636, 4206/6572 is
GCF of Numerators i.e. for 4930,4206 is 2
LCM of denominators i.e. for 636,6572 is 19716.
Thus, GCF of Fractions is 2/19716.Finally, GCF of Fractions for 4930/636, 4206/6572 is 2/19716.